d. Do the sample standard deviations target the value of the population standard

Question

d. Do the sample standard deviations target the value of the population standard deviation? In general, do sample standard deviations make good estimators of population standard deviations? Why or why not? A. The sample standard deviations do target the population standard deviation, therefore, sample standard deviations are unbiased estimators. B. The sample standard deviations do target the population standard deviation, therefore, sample standard deviations are biased estimators. C. The sample standard deviations do not target the population standard deviation, therefore, sample standard deviations are biased estimators. D. The sample standard deviations do not target the population standard deviation, therefore, sample standard deviations are unbiased estimators.

Explanation / Answer

a) std dev= 2.646

b) std dev : 0 0.70711 2.82843 3.53553
   prob 1/4 1/4 1/4 1/4
c) sampling distributions of sample std dev = 2.646/ sqrt(8) = 0.9355

d) The sample standard deviations do not target the population standard deviations, therefore, sample standard deviations are biased estimators .

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